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LECTURE NOTES 02/07  STKM3212: FOOD PROCESSING TECHNOLOGY   MASS BALANCE IN STEADY STATE  (Imbangan Jisim dalam Keadaan Mantap)  SAIFUL IRWAN ZUBAIRI   PMIFT, Grad B.E.M.   B. Eng. (Chemical-Bioprocess) (Hons.), UTM M. Eng. (Bioprocess), UTM ROOM NO.: 2166, CHEMISTRY BUILDING, TEL. (OFF.): 03-89215828, FOOD SCIENCE PROGRAMME, CENTRE OF CHEMICAL SCIENCES AND FOOD TECHNOLOGY,  UKM BANGI, SELANGOR
1.1 OUTLINES ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
1.2 PROCESS CLASSIFICATION ,[object Object],[object Object],[object Object],Extraction tank, t = 60 min F 0  (kg) H 2 O P 0  (kg) -  PRODUCT  (Liquid Crude Extract) System boundaries F 1  (kg)  Tongkat Ali  roots
CONTINUE: ,[object Object],Holding tank,  viscose MILK solution F 0  (kg/ hrs ) F 1  (kg/ hrs ) System boundaries I SPRAY DRYER system,  T = 120  0 c F 2  (kg/ hrs ) -  PRODUCT (Fine MILK powder) System boundaries II F 3  (kg/ hrs ) - Moist hot air
CONTINUE: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
1.3 THE GENERAL BALANCE EQUATION ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
CONTINUE: ,[object Object],[object Object],[object Object],[object Object]
CONTINUE: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
CONTINUE: ,[object Object],[object Object],[object Object],Evaporator   W (kg/hrs) H 2 O C (kg/hrs) -  PRODUCT  (Concentrated Juice) 58% (w/w) solids  1000 (kg/hrs) Juice 7.08% (w/w) solids
CONTINUE: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
CONTINUE: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
1 st  QUIZ [10 mins] {5 marks} ,[object Object]
2 nd  Assignment ,[object Object]
1.4 MASS BALANCE COMPONENT ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],20.0 cm 3 min 2.00 g cm 3
CONTINUE: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],BATCH MIXER   F 1  = 200 g 0.4 g CH 3 OH/g 0.6 g H 2 O/g   F 2  = 150 g 0.7 g CH 3 OH/g 0.3 g H 2 O/g   Q (g) x  (g CH 3 OH/g)
CONTINUE: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],0.4 g CH 3 OH 200 g g + 0.7 g CH 3 OH 150 g g = x  (g CH 3 OH) Q (g) g 185 g CH 3 OH/ 350 g = x  (g CH 3 OH/g)    x  (g CH 3 OH/g) = 0.529 = 50.29% (w/w) To verify: use  WATER BALANCE (200)(0.6) + (150)(0.3) = (350)(1-0.529)
CONTINUE: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],BATCH MIXER   P =  x  kg chicken meat 0.15 kg protein/kg  0.20 kg fats/kg 0.65 kg H 2 O/kg M = 100 kg  NEW FOOD PRODUCT   0.25 kg fats/kg a kg protein/kg b kg H 2 O/kg B =  y  kg synthetic fats  0.05 kg protein/kg  0.80 kg fats/kg 0.15 kg H 2 O/kg
CONTINUE:    No chemical reactions are given.    BASIS (the amount have been given at the OUTPUT STREAM).    So, “Input = Out” ---------- STEADY STATE TOTAL MASS BALANCE: P + B = 100 kg ------------- (1) FATS MASS BALANCE: (0.2)(P) + (0.8)(B) = (0.25)(100) 0.2P + 0.8B = 25 ------------- (2) Substitute (1) into (2) (0.2)(100 - B) + 0.8B = 25 20 - 0.2B + 0.8B = 25 B(0.8 - 0.2) = 25 - 20    B = 8.33 kg      P = 100 - 8.33 = 91.67 kg
CONTINUE: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
1.5 PROBLEM EXAMPLES IN FOOD PROCESSING ,[object Object],[object Object],[object Object],[object Object],**TAKE NOTE:  Dilution process will not altered the mass of the solution. Only the mass fraction component will be changed. BATCH MIXER   P = 15 kg solution 0.20 kg NaCI/kg 0.80 kg H 2 O/kg M =  y  kg  NEW DILUTED SOLUTION   0.10 kg NaCI/kg 0.90 kg H 2 O/kg B =  x  kg H 2 O
CONTINUE:    No chemical reactions are given.    BASIS (the amount have been given at the INPUT STREAM).    So, “Input = Out” ---------- STEADY STATE TOTAL MASS BALANCE: 15 + B = M ------------- (1) NaCI MASS BALANCE: (0.2)(15) = (0.10)(M) 3 = 0.1M ------------- (2)    M = 30 kg    B = 30 kg - 15 kg = 15 kg
CONTINUE: ,[object Object],[object Object],[object Object],Evaporator   W (kg/hrs) H 2 O C (kg/hrs) -  PRODUCT  (Concentrated grape Juice) 0.50 kg solids/kg 0.50 kg H 2 O/kg  100 (kg/hrs)  grape juice 0.2 kg solids/kg 0.8 kg H 2 O/kg
CONTINUE:    No chemical reactions are given.    NO BASIS are given --------  Put a BASIS of  100 kg/hrs of grape juice      So, “Input = Out” ---------- STEADY STATE TOTAL MASS BALANCE: 100  = W + C  ------------- (1) H 2 O MASS BALANCE: (0.2)(100) = (0.50)(C) 20 = 0.5C     40 kg/hrs = C   ------------- (2) Substitute (2) into (1) 100 = W + 40    W = 60 kg/hrs REDUCTION OF MASS: 100 kg - 40 kg     =  60 kg % REDUCTION OF MASS: 60 kg/100 kg × 100%    =  60% (w/w)
CONTINUE: ,[object Object],[object Object],[object Object],Evaporator   500 (kg/hrs) H 2 O C (kg/hrs) -  PRODUCT  (Concentrated mango Juice) 0.45 kg solids/kg 0.55 kg H 2 O/kg  F (kg/hrs) mango juice 0.12 kg solids/kg 0.88 kg H 2 O/kg
CONTINUE:    No chemical reactions are given.    BASIS (the amount have been given at the H 2 O STREAM).    So, “Input = Out” ---------- STEADY STATE TOTAL MASS BALANCE: F = 500 + C ------------- (1) H 2 O MASS BALANCE: (0.88)(F) = 500(1) + (0.55)(C) --------- (2) Substitute (1) into (2): (0.88)(500 + C) = 500 + 0.55C 440 + 0.88C = 500 + 0.55C 0.88C - 0.55C = 500 - 440 0.33C = 60    C = 181.8 kg/hrs      F = 500 + 181.8 = 681.8 kg/hrs
1.6 PROBLEM EXAMPLES IN MIXTURING OF FOOD INGREDIENT ,[object Object],[object Object],[object Object],BATCH MIXER   x  kg juice A  0.65 kg solids/kg 0.35 kg H 2 O/kg M = 100 kg  NEW CONCENTRATED JUICE   0.45 kg solids/kg 0.55 kg H 2 O/kg y  kg juice B  0.15 kg solids/kg 0.85 kg H 2 O/kg
CONTINUE:    No chemical reactions are given.    BASIS (the amount have been given at the OUTPUT STREAM).    So, “Input = Out” ---------- STEADY STATE TOTAL MASS BALANCE: x  +  y  = 100 ------------- (1) SOLIDS MASS BALANCE: (0.65)( x ) + (0.15)( y )  = (0.45)(100) 0.65 x +  0.15 y  = 45 ------------- (2) Substitute (1) into (2): 0.65(100  - y ) + 0.15 y  = 45 65 - 0.65 y  + 0.15 y  = 45 y(0.15 - 0.65) = 45 - 65 y = -20/-0.5     y = 40 kg    x  = 100 kg - 40 kg = 60 kg
CONTINUE: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],BATCH MIXER   x  kg beef meat  0.14 kg fats /kg 0.67 kg H 2 O/kg 0.19 kg protein/kg M = 100 kg  NEW FORMULATION FRANKFURTERS   0.20 kg fats/kg 0.65 kg H 2 O/kg 0.15 kg protein/kg y  kg chicken fats  0.89 kg fats/kg 0.08 kg H 2 O/kg 0.03 kg protein/kg z  kg H 2 O (Chilled water)
CONTINUE:    No chemical reactions are given.    BASIS (the amount have been given at the OUTPUT STREAM).    So, “Input = Out” ---------- STEADY STATE TOTAL MASS BALANCE: x  +  y  +  z  = 100 ------------- (1) FATS MASS BALANCE: (0.14)( x ) + (0.89)( y )  = (0.20)(100) 0.14 x +  0.89 y  = 20 ------------- (2) H 2 O MASS BALANCE: (0.67) ( x ) + (0.08)( y ) + (1)( z ) = (100)(0.65) 0.67 x  + 0.08 +  z  = 65 --------- (3)   Substitute (1) into (3): 0.67 x  + 0.08 + 100 -  x  -  y  = 65 Substitute (2) into (3): 0.67 x  + 0.08 + 100 -  x  - (20 - 0.14 x /0.89) = 65
CONTINUE: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],x  +  y  +  z  = 100 ------------- (1) 72.88 + 11.0 +  z  = 100    Z = 16.12 kg

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Lecture 02: STKM3212

  • 1. LECTURE NOTES 02/07 STKM3212: FOOD PROCESSING TECHNOLOGY MASS BALANCE IN STEADY STATE (Imbangan Jisim dalam Keadaan Mantap) SAIFUL IRWAN ZUBAIRI PMIFT, Grad B.E.M. B. Eng. (Chemical-Bioprocess) (Hons.), UTM M. Eng. (Bioprocess), UTM ROOM NO.: 2166, CHEMISTRY BUILDING, TEL. (OFF.): 03-89215828, FOOD SCIENCE PROGRAMME, CENTRE OF CHEMICAL SCIENCES AND FOOD TECHNOLOGY, UKM BANGI, SELANGOR
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  • 18. CONTINUE:  No chemical reactions are given.  BASIS (the amount have been given at the OUTPUT STREAM).  So, “Input = Out” ---------- STEADY STATE TOTAL MASS BALANCE: P + B = 100 kg ------------- (1) FATS MASS BALANCE: (0.2)(P) + (0.8)(B) = (0.25)(100) 0.2P + 0.8B = 25 ------------- (2) Substitute (1) into (2) (0.2)(100 - B) + 0.8B = 25 20 - 0.2B + 0.8B = 25 B(0.8 - 0.2) = 25 - 20  B = 8.33 kg  P = 100 - 8.33 = 91.67 kg
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  • 21. CONTINUE:  No chemical reactions are given.  BASIS (the amount have been given at the INPUT STREAM).  So, “Input = Out” ---------- STEADY STATE TOTAL MASS BALANCE: 15 + B = M ------------- (1) NaCI MASS BALANCE: (0.2)(15) = (0.10)(M) 3 = 0.1M ------------- (2)  M = 30 kg  B = 30 kg - 15 kg = 15 kg
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  • 23. CONTINUE:  No chemical reactions are given.  NO BASIS are given -------- Put a BASIS of 100 kg/hrs of grape juice  So, “Input = Out” ---------- STEADY STATE TOTAL MASS BALANCE: 100 = W + C ------------- (1) H 2 O MASS BALANCE: (0.2)(100) = (0.50)(C) 20 = 0.5C  40 kg/hrs = C ------------- (2) Substitute (2) into (1) 100 = W + 40  W = 60 kg/hrs REDUCTION OF MASS: 100 kg - 40 kg  = 60 kg % REDUCTION OF MASS: 60 kg/100 kg × 100%  = 60% (w/w)
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  • 25. CONTINUE:  No chemical reactions are given.  BASIS (the amount have been given at the H 2 O STREAM).  So, “Input = Out” ---------- STEADY STATE TOTAL MASS BALANCE: F = 500 + C ------------- (1) H 2 O MASS BALANCE: (0.88)(F) = 500(1) + (0.55)(C) --------- (2) Substitute (1) into (2): (0.88)(500 + C) = 500 + 0.55C 440 + 0.88C = 500 + 0.55C 0.88C - 0.55C = 500 - 440 0.33C = 60  C = 181.8 kg/hrs  F = 500 + 181.8 = 681.8 kg/hrs
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  • 27. CONTINUE:  No chemical reactions are given.  BASIS (the amount have been given at the OUTPUT STREAM).  So, “Input = Out” ---------- STEADY STATE TOTAL MASS BALANCE: x + y = 100 ------------- (1) SOLIDS MASS BALANCE: (0.65)( x ) + (0.15)( y ) = (0.45)(100) 0.65 x + 0.15 y = 45 ------------- (2) Substitute (1) into (2): 0.65(100 - y ) + 0.15 y = 45 65 - 0.65 y + 0.15 y = 45 y(0.15 - 0.65) = 45 - 65 y = -20/-0.5  y = 40 kg  x = 100 kg - 40 kg = 60 kg
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  • 29. CONTINUE:  No chemical reactions are given.  BASIS (the amount have been given at the OUTPUT STREAM).  So, “Input = Out” ---------- STEADY STATE TOTAL MASS BALANCE: x + y + z = 100 ------------- (1) FATS MASS BALANCE: (0.14)( x ) + (0.89)( y ) = (0.20)(100) 0.14 x + 0.89 y = 20 ------------- (2) H 2 O MASS BALANCE: (0.67) ( x ) + (0.08)( y ) + (1)( z ) = (100)(0.65) 0.67 x + 0.08 + z = 65 --------- (3) Substitute (1) into (3): 0.67 x + 0.08 + 100 - x - y = 65 Substitute (2) into (3): 0.67 x + 0.08 + 100 - x - (20 - 0.14 x /0.89) = 65
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Editor's Notes

  1. ftrr5